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andriy [413]
3 years ago
6

Which function represents the same relationship?

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

B

Step-by-step explanation:

We can use the standard form of an exponential function:

y=a(b)^x

The point (0, 18) tells us that <em>y</em> = 18 when <em>x</em> = 0. Hence:

\displaystyle 18=a(b)^0

Simplify:

a=18

Our equation is now:

\displaystyle y=18(b)^x

Next, the point (-1, 15) tells us that <em>y</em> = 15 when <em>x</em> = -1. Hence:

15=18(b)^{-1}

Isolate the variable:

\displaystyle \frac{1}{b}=\frac{5}{6}

Hence:

\displaystyle b=\frac{6}{5}

By substitution:

\displaystyle y=18\left(\frac{6}{5}\right)^x

Our answer is B.

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